Finding the Third Proportional to 322.88 and 469.31

Step by Step Solution

1. Step 1: Write the proportion equation
   322.88 : 469.31 = 469.31 : x
2. Step 2: Convert to fraction form
   322.88/469.31 = 469.31/x
3. Step 3: Cross multiply
   322.88x = 469.31 × 469.31
4. Step 4: Simplify right side
   322.88x = 220,254.22
5. Step 5: Solve for x
   x = 220,254.22/322.88
6. Step 6: Final answer
   x = 682.17